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Abigail ran 101310\frac{1}{3} miles on Saturday and 3133\frac{1}{3} miles on Sunday. How many miles did Abigail run in all?\newlineWrite your answer as a fraction or as a whole or mixed number.\newline_____ miles

Full solution

Q. Abigail ran 101310\frac{1}{3} miles on Saturday and 3133\frac{1}{3} miles on Sunday. How many miles did Abigail run in all?\newlineWrite your answer as a fraction or as a whole or mixed number.\newline_____ miles
  1. Convert to Improper Fractions: Step 11: Convert mixed numbers to improper fractions for easier addition.\newline1013=(10×3+1)/3=31310 \frac{1}{3} = (10 \times 3 + 1)/3 = \frac{31}{3}\newline313=(3×3+1)/3=1033 \frac{1}{3} = (3 \times 3 + 1)/3 = \frac{10}{3}
  2. Add Improper Fractions: Step 22: Add the two improper fractions. 313+103=31+103=413\frac{31}{3} + \frac{10}{3} = \frac{31 + 10}{3} = \frac{41}{3}
  3. Convert to Mixed Number: Step 33: Convert the improper fraction back to a mixed number. 413=13\frac{41}{3} = 13 remainder 22, so it's 132313 \frac{2}{3}.